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Finding the Fourth Proportional to 13,191.24, 19,791 and 5,801.92

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Solution

The fourth proportional to 13,191.24, 19,791 and 5,801.92 is: 8,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.24 : 19,791 = 5,801.92 : x
  2. Step 2: Convert to fraction form
    13,191.24/19,791 = 5,801.92/x
  3. Step 3: Cross multiply
    13,191.24x = 19,791 × 5,801.92
  4. Step 4: Simplify right side
    13,191.24x = 114,825,798.72
  5. Step 5: Solve for x
    x = 114,825,798.72/13,191.24
  6. Step 6: Final answer
    x = 8,704.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.